If you live together with your child only one of you can claim the child as a dependent on a tax return. There is no "splitting" of the child-related credits if you live together as a family. If you are unmarried then the one who claims the child can file as Head of Household; the other parent files Single. Try preparing your returns both ways to see which way works out better for you---mom OR dad claiming the child. It cannot be both.
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